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Exact boundaries of upper mobility of the Lyapunov exponents of linear differential systems under exponentially decaying perturbations of the coefficient matrices

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Abstract

For a linear differential system, we obtain formulas for the computation of the exact boundaries of upper mobility for Lyapunov exponents under exponentially decaying perturbations of its coefficient matrix on the basis of the Cauchy matrix.

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Correspondence to A. S. Voidelevich.

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Original Russian Text © A.S. Voidelevich, 2014, published in Differentsial’nye Uravneniya, 2014, Vol. 50, No. 10, pp. 1312–1324.

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Voidelevich, A.S. Exact boundaries of upper mobility of the Lyapunov exponents of linear differential systems under exponentially decaying perturbations of the coefficient matrices. Diff Equat 50, 1300–1313 (2014). https://doi.org/10.1134/S0012266114100036

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  • DOI: https://doi.org/10.1134/S0012266114100036

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